An alternative complete system of invariants for matrix pencils under strict equivalence
Document typePart of book or chapter of book
PublisherWSEAS Press. World Scientific and Engineering Academy and Society
Rights accessRestricted access - publisher's policy
We consider triples of matrices (E; A;B), representing singular linear time invariant systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un- der proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems.
CitationGarcia-Planas, M.I.; Diaz, A. An alternative complete system of invariants for matrix pencils under strict equivalence. A: "Recent advances in applied mathematics". WSEAS Press. World Scientific and Engineering Academy and Society, 2009, p. 64-70.